16-May-2025 09:25:38 toms847_test() MATLAB/Octave version 6.4.0 Test toms847(). Sparse grid representation of the function: z = scalar structure containing the fields: vals = { [1,1] = 0.1016 [1,2] = 0.565908 -0.096311 -0.058206 -0.033308 [1,3] = 1.9344e-01 -3.5145e-02 -5.4127e-01 5.7860e-02 -4.7543e-01 3.3177e-02 -2.0398e-03 1.5129e-02 [1,4] = 4.7664e-02 -5.9188e-02 -1.9818e-02 -2.3955e-03 -1.8218e-01 2.5714e-02 -1.5384e-01 1.5241e-02 -1.9474e-01 2.0936e-03 1.7849e-01 -1.5067e-02 -1.5427e-03 1.2681e-03 6.0576e-03 8.8544e-04 [1,5] = 2.1715e-03 2.8954e-02 4.6242e-03 -2.1919e-02 -8.1701e-03 -2.5671e-03 -9.0393e-04 -3.6317e-04 -4.7106e-02 6.3652e-02 1.6984e-02 9.1548e-04 -4.4680e-02 6.8037e-02 1.0910e-02 3.9862e-04 -5.8610e-02 1.4241e-03 6.1946e-02 -6.9061e-03 -1.4993e-02 1.5546e-03 -9.9041e-02 -1.2534e-03 3.4632e-01 -6.0418e-03 -9.0451e-02 -8.7081e-04 -3.9213e-04 -3.5709e-04 -3.4045e-05 7.1533e-04 1.4819e-03 1.4126e-03 5.9691e-04 -1.0163e-04 [1,6] = 1.3936e-03 3.4711e-04 4.3599e-03 9.6853e-03 6.0003e-03 -3.3502e-03 -6.1905e-03 -4.5672e-03 -2.6802e-03 -1.4886e-03 -8.3212e-04 -4.7833e-04 -2.8446e-04 -1.7504e-04 -1.1120e-04 -7.2730e-05 -2.1491e-03 -2.8592e-02 -3.4428e-03 2.2721e-02 7.6592e-03 1.7943e-03 4.0964e-04 1.0230e-04 -2.0492e-03 -2.7041e-02 -2.1988e-04 2.1355e-02 5.3909e-03 9.5772e-04 1.8436e-04 4.2019e-05 -2.0659e-02 3.6260e-02 1.7885e-03 -9.2738e-05 1.4514e-02 -2.1533e-02 -4.9075e-03 -1.8540e-04 -6.1084e-03 8.2939e-04 -2.3816e-02 -4.9126e-04 7.0604e-02 -2.8468e-03 -2.3643e-02 -3.0492e-04 -2.2229e-03 3.9488e-04 -5.7190e-03 3.6028e-04 -1.5722e-02 3.7602e-05 -3.3046e-02 -7.1151e-04 6.7894e-02 -1.4779e-03 4.1690e-02 -1.4087e-03 -3.1945e-02 -5.9312e-04 -1.3743e-02 1.0514e-04 -9.5224e-05 -1.0013e-04 -9.6893e-05 -7.9422e-05 -4.0270e-05 2.7009e-05 1.2290e-04 2.3549e-04 3.3779e-04 3.9565e-04 3.8626e-04 3.1348e-04 2.0512e-04 9.4924e-05 6.1199e-06 -5.3251e-05 [1,7] = 5.9541e-04 1.4036e-04 8.5224e-06 2.0612e-04 7.2205e-04 1.4774e-03 2.2248e-03 2.5341e-03 2.0518e-03 8.9351e-04 -3.7366e-04 -1.2330e-03 -1.5578e-03 -1.5039e-03 -1.2753e-03 -1.0090e-03 -7.6958e-04 -5.7654e-04 -4.2907e-04 -3.1938e-04 -2.3873e-04 -1.7962e-04 -1.3620e-04 -1.0416e-04 -8.0349e-05 -6.2518e-05 -4.9055e-05 -3.8806e-05 -3.0939e-05 -2.4851e-05 -2.0103e-05 -1.6372e-05 -1.3792e-03 -3.4354e-04 -4.3131e-03 -9.5460e-03 -5.7459e-03 3.6757e-03 6.4679e-03 4.6807e-03 2.6127e-03 1.3121e-03 6.2954e-04 2.9815e-04 1.4230e-04 6.9321e-05 3.4708e-05 1.7915e-05 -1.3150e-03 -3.2762e-04 -4.1063e-03 -8.9634e-03 -4.8698e-03 4.3290e-03 6.4228e-03 4.0992e-03 1.9618e-03 8.4131e-04 3.5166e-04 1.4935e-04 6.5693e-05 3.0147e-05 1.4453e-05 7.2283e-06 -9.5513e-04 -1.2447e-02 1.9534e-03 9.6069e-03 1.2882e-03 -8.3600e-06 -3.5679e-05 -1.2811e-05 6.4632e-04 8.9239e-03 2.3161e-03 -8.4350e-03 -2.3969e-03 -4.3984e-04 -8.5603e-05 -1.9599e-05 -7.3523e-04 2.5401e-04 7.2234e-04 -8.1387e-06 -1.3729e-02 2.5106e-02 -1.6594e-04 -3.8178e-05 5.5027e-02 -7.7800e-02 -2.2027e-03 -5.2899e-05 -1.1515e-02 2.1737e-02 -1.4763e-05 -3.6324e-05 -9.4541e-04 2.0538e-04 -2.2545e-03 1.9842e-04 -5.1409e-03 4.7910e-05 -5.3669e-03 -3.1752e-04 1.6282e-02 -6.9562e-04 1.3283e-02 -6.6138e-04 -6.2585e-03 -2.5936e-04 -4.6653e-03 8.0280e-05 -4.3916e-04 9.5881e-05 -6.8770e-04 1.0085e-04 -1.1018e-03 9.7666e-05 -1.8043e-03 8.0245e-05 -3.0022e-03 4.1139e-05 -4.9700e-03 -2.6100e-05 -7.6277e-03 -1.2196e-04 -8.2061e-03 -2.3453e-04 3.8952e-03 -3.3681e-04 2.9609e-02 -3.9466e-04 2.3642e-02 -3.8527e-04 -1.3800e-03 -3.1250e-04 -8.6802e-03 -2.0416e-04 -6.9131e-03 -9.3991e-05 -4.3577e-03 -5.2212e-06 -2.6189e-03 5.4108e-05 -2.3326e-05 -2.4256e-05 -2.4894e-05 -2.5109e-05 -2.4740e-05 -2.3596e-05 -2.1458e-05 -1.8083e-05 -1.3231e-05 -6.6804e-06 1.7217e-06 1.2016e-05 2.4068e-05 3.7522e-05 5.1761e-05 6.5913e-05 7.8914e-05 8.9627e-05 9.7005e-05 1.0027e-04 9.9074e-05 9.3541e-05 8.4266e-05 7.2193e-05 5.8437e-05 4.4117e-05 3.0204e-05 1.7437e-05 6.2935e-06 -2.9956e-06 -1.0397e-05 -1.6017e-05 [1,8] = 1.8786e-04 1.1203e-04 5.4885e-05 1.7849e-05 1.3574e-06 5.4811e-06 3.0210e-05 7.5379e-05 1.4025e-04 2.2277e-04 3.1861e-04 4.2021e-04 5.1633e-04 5.9261e-04 6.3369e-04 6.2678e-04 5.6583e-04 4.5440e-04 3.0585e-04 1.4012e-04 -2.1566e-05 -1.6174e-04 -2.6977e-04 -3.4234e-04 -3.8183e-04 -3.9407e-04 -3.8606e-04 -3.6456e-04 -3.3519e-04 -3.0220e-04 -2.6857e-04 -2.3619e-04 -2.0616e-04 -1.7901e-04 -1.5489e-04 -1.3374e-04 -1.1536e-04 -9.9476e-05 -8.5816e-05 -7.4099e-05 -6.4062e-05 -5.5470e-05 -4.8115e-05 -4.1815e-05 -3.6414e-05 -3.1776e-05 -2.7789e-05 -2.4355e-05 -2.1391e-05 -1.8829e-05 -1.6610e-05 -1.4683e-05 -1.3007e-05 -1.1546e-05 -1.0269e-05 -9.1522e-06 -8.1723e-06 -7.3111e-06 -6.5526e-06 -5.8834e-06 -5.2918e-06 -4.7677e-06 -4.3027e-06 -3.8893e-06 -5.8922e-04 -1.3891e-04 -8.4347e-06 -2.0399e-04 -7.1450e-04 -1.4612e-03 -2.1968e-03 -2.4922e-03 -1.9951e-03 -8.2335e-04 4.5323e-04 1.3152e-03 1.6339e-03 1.5654e-03 1.3157e-03 1.0253e-03 7.6263e-04 5.5037e-04 3.8925e-04 2.7163e-04 1.8796e-04 1.2947e-04 8.9058e-05 6.1328e-05 4.2364e-05 2.9400e-05 2.0523e-05 1.4421e-05 1.0207e-05 7.2788e-06 5.2311e-06 3.7890e-06 -5.6170e-04 -1.3248e-04 -8.0442e-06 -1.9454e-04 -6.8101e-04 -1.3897e-03 -2.0768e-03 -2.3213e-03 -1.7844e-03 -6.0042e-04 6.4830e-04 1.4424e-03 1.6691e-03 1.5093e-03 1.1907e-03 8.6363e-04 5.9404e-04 3.9541e-04 2.5827e-04 1.6718e-04 1.0799e-04 6.9947e-05 4.5583e-05 2.9952e-05 1.9872e-05 1.3323e-05 9.0298e-06 6.1877e-06 4.2867e-06 3.0017e-06 2.1238e-06 1.5179e-06 -6.1283e-04 -1.5273e-04 -1.9094e-03 -4.0806e-03 -1.8516e-03 2.5567e-03 3.1234e-03 1.6439e-03 5.6728e-04 1.3580e-04 1.2619e-05 -1.1101e-05 -1.0784e-05 -7.0600e-06 -4.1557e-06 -2.3693e-06 4.1495e-04 1.0325e-04 1.3075e-03 3.0652e-03 2.2389e-03 -1.0800e-03 -2.3977e-03 -1.7113e-03 -8.6237e-04 -3.7962e-04 -1.6094e-04 -6.8912e-05 -3.0462e-05 -1.4023e-05 -6.7371e-06 -3.3741e-06 -3.0727e-05 -4.6683e-04 -6.8230e-04 7.2923e-04 3.8304e-04 4.3051e-05 -1.1965e-06 -1.9786e-06 -6.5460e-04 -8.1276e-03 4.3748e-03 4.1130e-03 5.5380e-05 -6.0454e-05 -1.6847e-05 -4.3477e-06 2.8037e-03 3.1311e-02 -2.0297e-02 -1.0795e-02 -1.2203e-03 -1.5153e-04 -2.5069e-05 -5.3369e-06 -5.4023e-04 -6.8800e-03 2.9472e-03 4.1066e-03 1.3799e-04 -5.0929e-05 -1.5833e-05 -4.2169e-06 -8.7862e-05 -8.9566e-05 1.6373e-04 -3.2041e-07 -3.2065e-04 3.2072e-04 1.8964e-04 -3.8418e-06 -1.4460e-03 2.9017e-03 9.5800e-05 -7.7648e-06 -5.9766e-03 9.7742e-03 -2.0321e-04 -1.1199e-05 9.4463e-03 -1.4905e-02 -5.3619e-04 -1.3159e-05 4.0020e-03 -8.3675e-03 -5.0553e-04 -1.3012e-05 -5.1959e-03 9.0784e-03 -1.5345e-04 -1.0806e-05 -1.1720e-03 2.2907e-03 1.1954e-04 -7.2479e-06 -1.8926e-04 4.9335e-05 -2.8913e-04 5.3012e-05 -4.4697e-04 5.2722e-05 -6.9355e-04 4.5376e-05 -1.0592e-03 2.7190e-05 -1.5140e-03 -5.1296e-06 -1.7409e-03 -5.1902e-05 -6.8225e-04 -1.0725e-04 2.6109e-03 -1.5775e-04 5.1481e-03 -1.8636e-04 4.7813e-03 -1.8171e-04 1.5970e-03 -1.4573e-04 -1.1802e-03 -9.2292e-05 -1.7453e-03 -3.8209e-05 -1.3927e-03 4.9742e-06 -9.4941e-04 3.3313e-05 -9.8171e-05 2.3486e-05 -1.2214e-04 2.4425e-05 -1.5282e-04 2.5070e-05 -1.9229e-04 2.5292e-05 -2.4336e-04 2.4930e-05 -3.0974e-04 2.3793e-05 -3.9636e-04 2.1660e-05 -5.0961e-04 1.8292e-05 -6.5758e-04 1.3445e-05 -8.4966e-04 6.9003e-06 -1.0949e-03 -1.4969e-06 -1.3969e-03 -1.1786e-05 -1.7407e-03 -2.3835e-05 -2.0635e-03 -3.7285e-05 -2.1998e-03 -5.1521e-05 -1.8074e-03 -6.5670e-05 -3.6663e-04 -7.8670e-05 2.4860e-03 -8.9381e-05 6.1024e-03 -9.6758e-05 8.3774e-03 -1.0003e-04 7.4842e-03 -9.8827e-05 4.1796e-03 -9.3294e-05 7.9285e-04 -8.4021e-05 -1.2989e-03 -7.1949e-05 -2.1113e-03 -5.8196e-05 -2.1662e-03 -4.3878e-05 -1.9008e-03 -2.9969e-05 -1.5543e-03 -1.7206e-05 -1.2290e-03 -6.0665e-06 -9.5705e-04 3.2179e-06 -7.4113e-04 1.0614e-05 -5.7379e-04 1.6229e-05 -5.7656e-06 -5.8958e-06 -6.0127e-06 -6.1132e-06 -6.1937e-06 -6.2501e-06 -6.2779e-06 -6.2720e-06 -6.2271e-06 -6.1370e-06 -5.9953e-06 -5.7952e-06 -5.5292e-06 -5.1899e-06 -4.7696e-06 -4.2605e-06 -3.6552e-06 -2.9468e-06 -2.1289e-06 -1.1967e-06 -1.4674e-07 1.0225e-06 2.3100e-06 3.7117e-06 5.2204e-06 6.8250e-06 8.5103e-06 1.0257e-05 1.2042e-05 1.3838e-05 1.5613e-05 1.7334e-05 1.8966e-05 2.0473e-05 2.1818e-05 2.2969e-05 2.3896e-05 2.4574e-05 2.4985e-05 2.5117e-05 2.4966e-05 2.4537e-05 2.3842e-05 2.2899e-05 2.1734e-05 2.0377e-05 1.8861e-05 1.7222e-05 1.5496e-05 1.3718e-05 1.1922e-05 1.0139e-05 8.3958e-06 6.7153e-06 5.1167e-06 3.6148e-06 2.2205e-06 9.4086e-07 -2.2044e-07 -1.2625e-06 -2.1870e-06 -2.9973e-06 -3.6987e-06 -4.2974e-06 [1,9] = 5.2295e-05 4.1757e-05 3.2260e-05 2.3902e-05 1.6752e-05 1.0849e-05 6.2172e-06 2.8682e-06 8.0650e-07 3.3291e-08 5.4877e-07 2.3528e-06 5.4446e-06 9.8203e-06 1.5470e-05 2.2374e-05 3.0494e-05 3.9771e-05 5.0111e-05 6.1382e-05 7.3405e-05 8.5947e-05 9.8713e-05 1.1135e-04 1.2345e-04 1.3456e-04 1.4419e-04 1.5184e-04 1.5705e-04 1.5941e-04 1.5858e-04 1.5438e-04 1.4674e-04 1.3577e-04 1.2176e-04 1.0514e-04 8.6450e-05 6.6341e-05 4.5496e-05 2.4597e-05 4.2825e-06 -1.4892e-05 -3.2476e-05 -4.8135e-05 -6.1658e-05 -7.2947e-05 -8.2002e-05 -8.8907e-05 -9.3808e-05 -9.6895e-05 -9.8382e-05 -9.8493e-05 -9.7453e-05 -9.5475e-05 -9.2754e-05 -8.9468e-05 -8.5771e-05 -8.1797e-05 -7.7656e-05 -7.3442e-05 -6.9227e-05 -6.5070e-05 -6.1016e-05 -5.7099e-05 -5.3342e-05 -4.9761e-05 -4.6366e-05 -4.3161e-05 -4.0147e-05 -3.7321e-05 -3.4678e-05 -3.2213e-05 -2.9916e-05 -2.7781e-05 -2.5798e-05 -2.3958e-05 -2.2252e-05 -2.0672e-05 -1.9208e-05 -1.7854e-05 -1.6601e-05 -1.5441e-05 -1.4369e-05 -1.3376e-05 -1.2458e-05 -1.1608e-05 -1.0821e-05 -1.0093e-05 -9.4188e-06 -8.7940e-06 -8.2150e-06 -7.6783e-06 -7.1804e-06 -6.7185e-06 -6.2897e-06 -5.8914e-06 -5.5214e-06 -5.1774e-06 -4.8575e-06 -4.5598e-06 -4.2827e-06 -4.0245e-06 -3.7839e-06 -3.5595e-06 -3.3502e-06 -3.1548e-06 -2.9724e-06 -2.8019e-06 -2.6425e-06 -2.4934e-06 -2.3539e-06 -2.2233e-06 -2.1009e-06 -1.9862e-06 -1.8786e-06 -1.7777e-06 -1.6830e-06 -1.5940e-06 -1.5104e-06 -1.4319e-06 -1.3580e-06 -1.2884e-06 -1.2230e-06 -1.1613e-06 -1.1033e-06 -1.0485e-06 -9.9687e-07 -9.4815e-07 -1.8590e-04 -1.1087e-04 -5.4320e-05 -1.7666e-05 -1.3435e-06 -5.4247e-06 -2.9899e-05 -7.4601e-05 -1.3880e-04 -2.2043e-04 -3.1518e-04 -4.1549e-04 -5.1014e-04 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-1.0396e-06 -1.1083e-06 } gridType = Clenshaw-Curtis d = 2 range = 0 2 -1 1 maxLevel = 8 estRelError = 8.9859e-03 fevalRange = 4.9479e-03 9.9750e-01 minGridVal = 1 0 maxGridVal = 0.062500 0.625000 nPoints = 1537 fevalTime = 0.019958 surplusCompTime = 0.6767 Current dim: 1 Computing sparse grid surpluses up to level 17... Computing time: 48.0062 [s]. Performing 1000 evaluations for each level... Done! Current dim: 2 Computing sparse grid surpluses up to level 13... Computing time: 73.5162 [s]. Performing 1000 evaluations for each level... Done! Current dim: 4 Computing sparse grid surpluses up to level 10... Computing time: 298.0031 [s]. Performing 1000 evaluations for each level... Done! Current dim: 8 Computing sparse grid surpluses up to level 6... Computing time: 174.3319 [s]. Performing 1000 evaluations for each level... Done! Current dim: 16 Computing sparse grid surpluses up to level 4... Computing time: 207.206 [s]. Performing 1000 evaluations for each level...